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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 10 > No. 4

 
   

Exploring the New Analytical Wave Solutions for M-Fractional Stochastic Nizhnik-Novikov-Veselov System by an Efficient Analytical Technique

PP: 587-600
doi:10.18576/pfda/100406
Author(s)
Asim Zafar, Marwan Abukhaled, Muhammad Raheel, Khalid K. Ali, Ahmet Bekir, Omar Abu Arqub,
Abstract
In this paper, we derive new analytical wave solutions to the truncated M-fractional stochastic Nizhnik-Novikov-Veselov (SNNV) system by utilizing the modified simplest equation technique along the multiplicative noise effect. This system is an extension of the KdV equation and has many applications, including plasma, crystal networks, and shallow water waves. Achieved solutions are verified with the use of Mathematica software. Some of the obtained solutions are also described graphically by 2-dimensional, 3-dimensional and contour plots. The derived solutions are helpful in the further research of underlying model. Finally, this technique is simple and reliable to tackle the nonlinear PDEs.

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